Advertisements
Advertisements
Question
Find the L.C.M. of the given expressions
2x2 – 5x – 3, 4x2 – 36
Solution
2x2 – 5x – 3 = 2x2 – 6x + x – 3
= 2x (x – 3) + 1 (x – 3)
= (x – 3) (2x + 1)
= 4x2 – 36 = 4 [x2 – 9]
= 4 [x2 – 32]
= 4(x + 3) (x – 3)
L.C.M. = 4(x – 3) (x + 3) (2x + 1)
APPEARS IN
RELATED QUESTIONS
Find the G.C.D. of the given polynomials
x4 + 3x3 – x – 3, x3 + x2 – 5x + 3
Find the L.C.M. of the given expressions
4x2y, 8x3y2
Find the L.C.M. of the given expressions
16m, – 12m2n2, 8n2
Find the L.C.M. of the given expressions
p2 – 3p + 2, p2 – 4
Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD
21x2y, 35xy2
Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD
(x3 – 1) (x + 1), (x3 + 1)
Find the LCM and GCD for the following and verify that f(x) × g(x) = LCM × GCD
(x2y + xy2), (x2 + xy)
Find the LCM pair of the following polynomials
x4 – 27a3x, (x – 3a)2 whose GCD is (x – 3a)
Find the GCD pair of the following polynomials
12(x4 – x3), 8(x4 – 3x3 + 2x2) whose LCM is 24x3 (x – 1)(x – 2)
Given the LCM and GCD of the two polynomials p(x) and q(x) find the unknown polynomial in the following table
| LCM | GCD | p(x) | q(x) |
| a3 – 10a2 + 11a + 70 | a – 7 | a2 – 12a + 35 |
